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Finding the Fourth Proportional to 30,688.44, 46,033.65 and 8,502.03

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Solution

The fourth proportional to 30,688.44, 46,033.65 and 8,502.03 is: 12,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,688.44 : 46,033.65 = 8,502.03 : x
  2. Step 2: Convert to fraction form
    30,688.44/46,033.65 = 8,502.03/x
  3. Step 3: Cross multiply
    30,688.44x = 46,033.65 × 8,502.03
  4. Step 4: Simplify right side
    30,688.44x = 391,379,473.31
  5. Step 5: Solve for x
    x = 391,379,473.31/30,688.44
  6. Step 6: Final answer
    x = 12,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.